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82330961664 = 283715314539
BaseRepresentation
bin100110010101101001…
…1101100011100000000
321212111210020012021110
41030223103230130000
52322103211233124
6101453342123320
75643144425130
oct1145323543400
9255453205243
1082330961664
1131a09755086
1213b58580540
1379c102a883
143db0586ac0
15221ce59029
hex132b4ec700

82330961664 has 72 divisors (see below), whose sum is σ = 250423358080. Its totient is φ = 23523130368.

The previous prime is 82330961623. The next prime is 82330961681. The reversal of 82330961664 is 46616903328.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7651894 + ... + 7662645.

Almost surely, 282330961664 is an apocalyptic number.

82330961664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82330961664 is an abundant number, since it is smaller than the sum of its proper divisors (168092396416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82330961664 is a wasteful number, since it uses less digits than its factorization.

82330961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15314565 (or 15314551 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 82330961664 in words is "eighty-two billion, three hundred thirty million, nine hundred sixty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 15314539 30629078 45943617 61258156 91887234 107201773 122516312 183774468 214403546 245032624 321605319 367548936 428807092 490065248 643210638 735097872 857614184 980130496 1286421276 1470195744 1715228368 1960260992 2572842552 2940391488 3430456736 3920521984 5145685104 5880782976 6860913472 10291370208 11761565952 13721826944 20582740416 27443653888 41165480832 82330961664